You should ,IMO wire the 12V inverter inputs as close to the battery terminals as possible , via a 200A fuse and suitably thick wires , also keep in a ventilated space as it's going to to get warm. Realistically what are expecting from the battery solar panels ? because a 12V 110Ahr battery will supply 2kW for about 1/2 hour maximum if fully charged and some leisure batteries may not even last that long.
2kW at nominal 12V = 166 amps ( if the inverter is 100% efficient which they aren't),
Theoretically a 100 A.hr battery will supply 100A for 1 hour , but 100A.hr batteries are normally rated as such at a discharge rate of C20 ie. 20 hours discharge rate which is only 5A When stressed at supplying such a high current the battery would only last about 20 minutes , before the inverter would sense the drop in the battery voltage and switch off. Also your solar panel , if say its 100W capacity it may only produce 5- 10W on dull days, so would take a long time to recharge the battery. taking it at 10W continuous = 100/0.833A = 120 hour= 5 days , but wait ,we only get about 9-10 hours of useful daylight per day , so it would actually take 24/9 x 5 days =13.3 days if you used 2kW of mains power for 1 hour. I hope that given you an idea of the limitations of solar panels and delivering mains power from batteries.(it why some folks take petrol generators when going off grid)